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Finding the Fourth Proportional to 408,916.10, 613,374.15 and 323,623.10

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Solution

The fourth proportional to 408,916.10, 613,374.15 and 323,623.10 is: 485,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,916.10 : 613,374.15 = 323,623.10 : x
  2. Step 2: Convert to fraction form
    408,916.10/613,374.15 = 323,623.10/x
  3. Step 3: Cross multiply
    408,916.10x = 613,374.15 × 323,623.10
  4. Step 4: Simplify right side
    408,916.10x = 198,502,043,882.87
  5. Step 5: Solve for x
    x = 198,502,043,882.87/408,916.10
  6. Step 6: Final answer
    x = 485,434.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.